7701313820064 has 96 divisors (see below), whose sum is σ = 20414880105984. Its totient is φ = 2541849987840.

The previous prime is 7701313820033. The next prime is 7701313820069. The reversal of 7701313820064 is 4600283131077.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7701313819998 and 7701313820025.

It is not an unprimeable number, because it can be changed into a prime (7701313820069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82646779 + ... + 82739909.

It is an arithmetic number, because the mean of its divisors is an integer number (212655001104).

Almost surely, 2^{7701313820064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7701313820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207440052992).

7701313820064 is an abundant number, since it is smaller than the sum of its proper divisors (12713566285920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7701313820064 is a wasteful number, since it uses less digits than its factorization.

7701313820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101610 (or 101602 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 7701313820064 in words is "seven trillion, seven hundred one billion, three hundred thirteen million, eight hundred twenty thousand, sixty-four".